A cylinder has a base with a circumference of meters and an equilateral triangle inscribed on the interior side of the base. A marker is dropped into the tank with an equal probability of landing on any point on the base. If the probability of the marker landing inside the triangle is , what is the length of a side of the triangle?

a)3*((2pi)^1/2)(square root over 2*pi)
b)3*((3pi)^1/2)(square root over 3*pi)
c)10*pi^1/2 (square root over pi)
d)10*((3pi)^1/2)(square root over 3*pi)
e)20*pi